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Finding the Fourth Proportional to 9,997.68, 13,788.48 and 7,485.72

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Solution

The fourth proportional to 9,997.68, 13,788.48 and 7,485.72 is: 10,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.68 : 13,788.48 = 7,485.72 : x
  2. Step 2: Convert to fraction form
    9,997.68/13,788.48 = 7,485.72/x
  3. Step 3: Cross multiply
    9,997.68x = 13,788.48 × 7,485.72
  4. Step 4: Simplify right side
    9,997.68x = 103,216,700.51
  5. Step 5: Solve for x
    x = 103,216,700.51/9,997.68
  6. Step 6: Final answer
    x = 10,324.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.